{"cells":[{"cell_type":"markdown","metadata":{},"source":["\n","# *H2 energy with various variational forms*\n","\n","This notebook demonstrates using Qiskit Chemistry to plot graphs of the ground state energy of the Hydrogen (H2) molecule using VQE with different variation form configurations. The results are compared to the same energy as computed with the UCCSD ansatz and the ParityMapper (as in https://qiskit-community.github.io/qiskit-nature/getting_started.html)\n","\n","This notebook needs a chemistry driver e.g. PySCF.\n"]},{"cell_type":"code","execution_count":null,"metadata":{"_cell_guid":"b1076dfc-b9ad-4769-8c92-a6c4dae69d19","_kg_hide-output":false,"_uuid":"8f2839f25d086af736a60e9eeb907d3b93b6e0e5","trusted":true},"outputs":[],"source":["%pip install qiskit\n","%pip install qiskit_aer\n","%pip install qiskit_ibm_runtime\n","%pip install matplotlib\n","%pip install pylatexenc\n","%pip install qiskit-transpiler-service\n","%pip install qiskit-nature\n","%pip install qiskit-nature-pyscf"]},{"cell_type":"markdown","metadata":{},"source":["## Precise value"]},{"cell_type":"code","execution_count":8,"metadata":{"execution":{"iopub.execute_input":"2024-07-08T16:26:53.331434Z","iopub.status.busy":"2024-07-08T16:26:53.331015Z","iopub.status.idle":"2024-07-08T16:26:54.299998Z","shell.execute_reply":"2024-07-08T16:26:54.298769Z","shell.execute_reply.started":"2024-07-08T16:26:53.331404Z"},"trusted":true},"outputs":[{"name":"stdout","output_type":"stream","text":["=== GROUND STATE ENERGY ===\n"," \n","* Electronic ground state energy (Hartree): -1.849672\n","  - computed part:      -1.849672\n","~ Nuclear repulsion energy (Hartree): 0.712418\n","> Total ground state energy (Hartree): -1.137253\n"," \n","=== MEASURED OBSERVABLES ===\n"," \n","  0:  # Particles: 2.000 S: 0.000 S^2: 0.000 M: 0.000\n"," \n","=== DIPOLE MOMENTS ===\n"," \n","~ Nuclear dipole moment (a.u.): [0.0  0.0  1.40367]\n"," \n","  0: \n","  * Electronic dipole moment (a.u.): [0.0  0.0  1.40367]\n","    - computed part:      [0.0  0.0  1.40367]\n","  > Dipole moment (a.u.): [0.0  0.0  0.0]  Total: 0.0\n","                 (debye): [0.0  0.0  0.0]  Total: 0.0\n"," \n"]}],"source":["from qiskit_nature.second_q.drivers import PySCFDriver\n","from qiskit_nature.second_q.mappers import ParityMapper\n","from qiskit_algorithms.optimizers import L_BFGS_B\n","from qiskit.primitives import Estimator\n","from qiskit_nature.second_q.circuit.library import HartreeFock, UCCSD\n","from qiskit_algorithms import VQE\n","from qiskit_nature.second_q.algorithms import GroundStateEigensolver\n","\n","\n","driver = PySCFDriver(atom='H .0 .0 .0; H .0 .0 0.74279')\n","problem = driver.run()\n","\n","mapper = ParityMapper(num_particles=problem.num_particles)\n","\n","optimizer = L_BFGS_B()\n","\n","estimator = Estimator()\n","\n","ansatz = UCCSD(\n","    problem.num_spatial_orbitals,\n","    problem.num_particles,\n","    mapper,\n","    initial_state=HartreeFock(\n","        problem.num_spatial_orbitals,\n","        problem.num_particles,\n","        mapper,\n","    ),\n",")\n","\n","vqe = VQE(estimator, ansatz, optimizer)\n","vqe.initial_point = [0] * ansatz.num_parameters\n","\n","algorithm = GroundStateEigensolver(mapper, vqe)\n","\n","electronic_structure_result = algorithm.solve(problem)\n","electronic_structure_result.formatting_precision = 6\n","print(electronic_structure_result) # we're going to calculate the total ground state energy"]},{"cell_type":"markdown","metadata":{},"source":["## Trying different ansatze"]},{"cell_type":"code","execution_count":11,"metadata":{"execution":{"iopub.execute_input":"2024-07-08T16:30:05.172574Z","iopub.status.busy":"2024-07-08T16:30:05.172079Z","iopub.status.idle":"2024-07-08T16:30:05.253887Z","shell.execute_reply":"2024-07-08T16:30:05.252706Z","shell.execute_reply.started":"2024-07-08T16:30:05.172538Z"},"trusted":true},"outputs":[],"source":["from qiskit_nature.second_q.drivers import PySCFDriver\n","from qiskit_nature.second_q.mappers import JordanWignerMapper\n","from qiskit_algorithms.optimizers import SLSQP\n","from qiskit.primitives import Estimator\n","\n","driver = PySCFDriver(atom='H .0 .0 .0; H .0 .0 0.74279')\n","problem = driver.run()\n","\n","mapper = JordanWignerMapper()\n","\n","optimizer = SLSQP(maxiter=10000, ftol=1e-9)\n","\n","estimator = Estimator()"]},{"cell_type":"code","execution_count":19,"metadata":{"execution":{"iopub.execute_input":"2024-07-08T16:51:45.742434Z","iopub.status.busy":"2024-07-08T16:51:45.741978Z","iopub.status.idle":"2024-07-08T16:53:51.074203Z","shell.execute_reply":"2024-07-08T16:53:51.072841Z","shell.execute_reply.started":"2024-07-08T16:51:45.742399Z"},"trusted":true},"outputs":[{"name":"stdout","output_type":"stream","text":["Depth: 1\n","Depth: 2\n","Depth: 3\n","Depth: 4\n","Depth: 5\n","Depth: 6\n","Depth: 7\n","Depth: 8\n","Depth: 9\n","Depth: 10\n"]}],"source":["from qiskit import QuantumCircuit\n","from qiskit.circuit.library import TwoLocal\n","from qiskit_algorithms import VQE\n","from qiskit_nature.second_q.algorithms import GroundStateEigensolver\n","import numpy as np\n","\n","var_forms = [['ry', 'rz'], 'ry']\n","entanglements = ['full', 'linear']\n","entanglement_blocks = ['cx', 'cz', ['cx', 'cz']]\n","depths = list(range(1, 11))\n","\n","reference_circuit = QuantumCircuit(4)\n","reference_circuit.x(0)\n","reference_circuit.x(2)\n","\n","results = np.zeros((len(depths), len(entanglements), len(var_forms), len(entanglement_blocks)))\n","\n","for i, d in enumerate(depths):\n","    print(f'Depth: {d} done.')\n","    for j, e in enumerate(entanglements):\n","        for k, vf in enumerate(var_forms):\n","            for l, eb in enumerate(entanglement_blocks):\n","                optimizer = SLSQP(maxiter=10000, ftol=1e-9)\n","                variational_form = TwoLocal(4, rotation_blocks=vf, entanglement_blocks=eb,entanglement=e, reps=d)\n","\n","                ansatz = reference_circuit.compose(variational_form)\n","\n","                vqe = VQE(estimator, ansatz, optimizer)\n","                vqe.initial_point = [0] * ansatz.num_parameters\n","\n","                algorithm = GroundStateEigensolver(mapper, vqe)\n","\n","                electronic_structure_result = algorithm.solve(problem)\n","                \n","                results[i, j, k, l] = electronic_structure_result.total_energies[0]"]},{"cell_type":"code","execution_count":20,"metadata":{"execution":{"iopub.execute_input":"2024-07-08T16:54:06.186263Z","iopub.status.busy":"2024-07-08T16:54:06.185831Z","iopub.status.idle":"2024-07-08T16:54:08.581570Z","shell.execute_reply":"2024-07-08T16:54:08.580279Z","shell.execute_reply.started":"2024-07-08T16:54:06.186230Z"},"trusted":true},"outputs":[{"data":{"image/png":"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","text/plain":["<Figure size 640x480 with 6 Axes>"]},"metadata":{},"output_type":"display_data"},{"data":{"image/png":"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","text/plain":["<Figure size 640x480 with 6 Axes>"]},"metadata":{},"output_type":"display_data"}],"source":["import matplotlib.pyplot as plt\n","\n","fig1, axs1 = plt.subplots(2, 3, sharey=True, sharex=True)\n","fig2, axs2 = plt.subplots(2, 3, sharey=True, sharex=True)\n","\n","fig1.supxlabel('Depth')\n","fig1.supylabel('Estimated ground state energy')\n","fig2.supxlabel('Depth')\n","fig2.supylabel('Estimated ground state energy')\n","\n","for j, e in enumerate(entanglements):\n","    for l, eb in enumerate(entanglement_blocks):\n","        axs1[j, l].plot(depths, results[:, j, 0, l])\n","        axs1[j, l].set_title(f'{e}, ryrz, {eb}')\n","        axs1[j, l].text(0.90, 0.75, f'Min: {np.min(results[:, j, 0, l]):.3f}')\n","        \n","for j, e in enumerate(entanglements):\n","    for l, eb in enumerate(entanglement_blocks):\n","        axs2[j, l].plot(depths, results[:, j, 1, l])\n","        axs2[j, l].set_title(f'{e}, ry, {eb}')\n","        axs2[j, l].text(0.90, 0.75, f'Min: {np.min(results[:, j, 1, l]):.3f}')"]},{"cell_type":"code","execution_count":8,"metadata":{},"outputs":[{"name":"stdout","output_type":"stream","text":["qiskit==1.1.0\n","qiskit-aer==0.14.2\n","qiskit-algorithms==0.3.0\n","qiskit-ibm-runtime==0.25.0\n","qiskit-machine-learning==0.7.2\n","qiskit-nature==0.7.2\n","qiskit-nature-pyscf==0.4.0\n","qiskit-qasm3-import==0.5.0\n","qiskit-transpiler-service==0.4.5\n"]}],"source":["! pip freeze | grep qiskit"]}],"metadata":{"kaggle":{"accelerator":"none","dataSources":[],"dockerImageVersionId":30732,"isGpuEnabled":false,"isInternetEnabled":true,"language":"python","sourceType":"notebook"},"kernelspec":{"display_name":"Python 3","language":"python","name":"python3"},"language_info":{"codemirror_mode":{"name":"ipython","version":3},"file_extension":".py","mimetype":"text/x-python","name":"python","nbconvert_exporter":"python","pygments_lexer":"ipython3","version":"3.10.14"}},"nbformat":4,"nbformat_minor":4}
